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Finding the Fourth Proportional to 7,140.27, 10,711.80 and 2,208.90

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Solution

The fourth proportional to 7,140.27, 10,711.80 and 2,208.90 is: 3,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.27 : 10,711.80 = 2,208.90 : x
  2. Step 2: Convert to fraction form
    7,140.27/10,711.80 = 2,208.90/x
  3. Step 3: Cross multiply
    7,140.27x = 10,711.80 × 2,208.90
  4. Step 4: Simplify right side
    7,140.27x = 23,661,295.02
  5. Step 5: Solve for x
    x = 23,661,295.02/7,140.27
  6. Step 6: Final answer
    x = 3,313.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.